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Finding the Fourth Proportional to 13,953.72, 19,257.34 and 7,667.30

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Solution

The fourth proportional to 13,953.72, 19,257.34 and 7,667.30 is: 10,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.72 : 19,257.34 = 7,667.30 : x
  2. Step 2: Convert to fraction form
    13,953.72/19,257.34 = 7,667.30/x
  3. Step 3: Cross multiply
    13,953.72x = 19,257.34 × 7,667.30
  4. Step 4: Simplify right side
    13,953.72x = 147,651,802.98
  5. Step 5: Solve for x
    x = 147,651,802.98/13,953.72
  6. Step 6: Final answer
    x = 10,581.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.